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Mathematics

D-Index
31
Citations
3480
World Ranking
3369
National Ranking
137

Overview

Marco Bertola is a researcher affiliated with Concordia University in Canada, with a focus on mathematics and physics. Their work spans main fields such as Mathematics and Physics and Astronomy, with particular emphasis on subfields including Mathematical Physics, Applied Mathematics, Statistical and Nonlinear Physics, Geometry and Topology, and Algebra and Number Theory.

Their research addresses a number of advanced topics, notably:

  • Nonlinear Waves and Solitons
  • Mathematical functions and polynomials
  • Advanced Algebra and Geometry
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Nonlinear Photonic Systems
  • Spectral Theory in Mathematical Physics

Their publication record includes works in several leading scientific journals. Frequent venues for their contributions include:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Nonlinearity
  • Symmetry Integrability and Geometry Methods and Applications
  • International Mathematics Research Notices

Recent publications by Marco Bertola include:

  • Partial degeneration of finite gap solutions to the Korteweg-de Vries equation: soliton gas and scattering on elliptic backgrounds, 2023, Nonlinearity
  • Soliton Shielding of the Focusing Nonlinear Schrödinger Equation, 2023, Physical Review Letters
  • Simple Lie Algebras, Drinfeld-Sokolov Hierarchies, and Multi-Point Correlation Functions, 2021, Moscow Mathematical Journal
  • Extended Goldman symplectic structure in Fock-Goncharov coordinates, 2023, Journal of Differential Geometry
  • Nonlinear steepest descent approach to orthogonality on elliptic curves, 2022, Journal of Approximation Theory

They have collaborated frequently with several co-authors, including:

  • Тамара Грава
  • Alexander Tovbis
  • Giuseppe Orsatti
  • Dmitry Korotkin
  • Eduardo Chavez-Heredia

Best Publications

  • Universality for the Focusing Nonlinear Schrödinger Equation at the Gradient Catastrophe Point: Rational Breathers and Poles of the Tritronquée Solution to Painlevé I

    Marco Bertola;Alexander Tovbis

  • Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation.

    Alexey Tikan;Cyril Billet;Gennady El;Alexander Tovbis

  • Duality, Biorthogonal Polynomials¶and Multi-Matrix Models

    M. Bertola;B. Eynard;J. Harnad

  • The Dependence on the Monodromy Data of the Isomonodromic Tau Function

    Marco Bertola;Marco Bertola

  • Differential Systems for Biorthogonal Polynomials Appearing in 2-Matrix Models and the Associated Riemann–Hilbert Problem

    M. Bertola;M. Bertola;B. Eynard;J. Harnad;J. Harnad

  • Partition functions for matrix models and isomonodromic tau functions

    M Bertola;M Bertola;B Eynard;J Harnad;J Harnad

  • Cauchy–Laguerre Two-Matrix Model and the Meijer-G Random Point Field

    M. Bertola;M. Bertola;M. Gekhtman;J. Szmigielski

  • The Transition between the Gap Probabilities from the Pearcey to the Airy Process—a Riemann–Hilbert Approach

    Marco Bertola;M. Cafasso

  • The Cauchy Two-Matrix Model

    M. Bertola;M. Bertola;M. Gekhtman;J. Szmigielski

  • Semiclassical Orthogonal Polynomials, Matrix Models and Isomonodromic Tau Functions

    M. Bertola;M. Bertola;B. Eynard;J. Harnad;J. Harnad

  • Commuting difference operators, spinor bundles and the asymptotics of orthogonal polynomials with respect to varying complex weights

    M. Bertola;M. Bertola;M.Y. Mo

  • Cauchy biorthogonal polynomials

    M. Bertola;M. Gekhtman;J. Szmigielski

  • Correlation functions of the KdV hierarchy and applications to intersection numbers over M¯g,n

    Marco Bertola;Marco Bertola;Marco Bertola;Boris Dubrovin;Di Yang

  • Frobenius manifold structure on orbit space of Jacobi groups; Part II

    Marco Bertola

  • Boutroux curves with external field: equilibrium measures without a variational problem

    Marco Bertola;Marco Bertola

  • First Colonization of a Spectral Outpost in Random Matrix Theory

    M. Bertola;M. Bertola;S. Y. Lee

  • Free energy of the two-matrix model/dToda tau-function

    M. Bertola;M. Bertola

  • Bilinear semiclassical moment functionals and their integral representation

    Marco Bertola

  • Biorthogonal polynomials for two-matrix models with semiclassical potentials

    M. Bertola

  • Universality for the focusing nonlinear Schroedinger equation at the gradient catastrophe point: Rational breathers and poles of the tritronquee solution to Painleve I

    Marco Bertola;Alexander Tovbis

Frequent Co-Authors

John Harnad
John Harnad University of Montreal
Bertrand Eynard
Bertrand Eynard University of Paris-Saclay
Boris Dubrovin
Boris Dubrovin International School for Advanced Studies
Gennady El
Gennady El Northumbria University
John M. Dudley
John M. Dudley University of Franche-Comté
Thibaut Sylvestre
Thibaut Sylvestre Centre national de la recherche scientifique, CNRS
Goëry Genty
Goëry Genty Tampere University

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